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Properties

Label 1183.2.bn
Level $1183$
Weight $2$
Character orbit 1183.bn
Rep. character $\chi_{1183}(34,\cdot)$
Character field $\Q(\zeta_{52})$
Dimension $2832$
Sturm bound $242$

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Defining parameters

Level: \( N \) \(=\) \( 1183 = 7 \cdot 13^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 1183.bn (of order \(52\) and degree \(24\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 1183 \)
Character field: \(\Q(\zeta_{52})\)
Sturm bound: \(242\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(1183, [\chi])\).

Total New Old
Modular forms 2928 2928 0
Cusp forms 2832 2832 0
Eisenstein series 96 96 0

Trace form

\( 2832 q - 48 q^{2} - 52 q^{4} - 18 q^{7} - 56 q^{8} + 176 q^{9} + O(q^{10}) \) \( 2832 q - 48 q^{2} - 52 q^{4} - 18 q^{7} - 56 q^{8} + 176 q^{9} - 44 q^{11} - 38 q^{14} - 48 q^{15} + 156 q^{16} - 44 q^{18} - 26 q^{21} - 96 q^{22} - 52 q^{25} - 6 q^{28} - 52 q^{29} - 156 q^{30} - 296 q^{32} - 10 q^{35} - 52 q^{36} - 64 q^{37} - 196 q^{39} - 34 q^{42} - 52 q^{43} - 168 q^{44} + 28 q^{46} - 26 q^{49} - 24 q^{50} - 52 q^{51} - 12 q^{53} - 26 q^{56} - 44 q^{57} - 8 q^{58} - 96 q^{60} - 176 q^{63} - 52 q^{64} - 12 q^{65} + 304 q^{67} + 178 q^{70} - 52 q^{71} - 24 q^{72} + 204 q^{74} - 26 q^{77} - 96 q^{78} - 68 q^{79} - 216 q^{81} - 22 q^{84} - 272 q^{85} - 400 q^{86} - 260 q^{88} + 6 q^{91} + 156 q^{92} - 24 q^{93} - 52 q^{95} + 2 q^{98} - 64 q^{99} + O(q^{100}) \)

Display 100 coefficients 10 coefficients

Decomposition of \(S_{2}^{\mathrm{new}}(1183, [\chi])\) into newform subspaces

The newforms in this space have not yet been added to the LMFDB.